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V. V. Borzov; E. V. Damaskinsky
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We consider the spectrum of the discrete Schr\"odinger equation with onedimensional perturbation. We obtain the explicit form of scattering matrix and find the exact condition of absence of singular part of the spectrum. We calculated also the eigenvalue that appears if this condition is not true. In the last part of our paper we give few remarks on the case of twodimensional perturbations.
Topics: Spectral Theory, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1609.05527
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Riccardo Barbieri; Lawrence J. Hall; Keisuke Harigaya
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In a Mirror Twin World with a maximally symmetric Higgs sector the little hierarchy of the Standard Model can be significantly mitigated, perhaps displacing the cutoff scale above the LHC reach. We show that consistency with observations requires that the Z2 parity exchanging the Standard Model with its mirror be broken in the Yukawa couplings. A minimal such effective field theory, with this sole Z2 breaking, can generate the Z2 breaking in the Higgs sector necessary for the Twin Higgs...
Topics: Astrophysics, High Energy Physics  Phenomenology, Cosmology and Nongalactic Astrophysics, High...
Source: http://arxiv.org/abs/1609.05589
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B. Röck; A. Vazdekis; E. Ricciardelli; R. F. Peletier; J. H. Knapen; J. FalconBarroso
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We present the first singleburst stellar population models which covers the optical and the infrared wavelength range between 3500 and 50000 Angstrom and which are exclusively based on empirical stellar spectra. To obtain these joint models, we combined the extended MILES models in the optical with our new infrared models that are based on the IRTF (Infrared Telescope Facility) library. The latter are available only for a limited range in terms of both age and metallicity. Our combined...
Topics: Astrophysics, Astrophysics of Galaxies
Source: http://arxiv.org/abs/1609.05478
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Victor D. Didenko; Anatolii A. Korenovskyi; Nor Jaidi Tuah
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A "norm" of power function in the GurovReshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semiaxis to the whole real line in the GurovReshetnyak class is obtained from numerical experiments.
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1609.05585
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Nikolai I. Lebovka; Nikolai V. Vygornitskii; Volodymyr A. Gigiberiya; Yuri Yu. Tarasevich
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The vertical drying of a colloidal film containing rodlike particles was studied by means of kinetic Monte Carlo (MC) simulation. The problem was approached using a twodimensional square lattice and the rods were represented as linear $k$mers (i.e., particles occupying $k$ adjacent sites). The initial state before drying was produced using a model of random sequential adsorption (RSA) with isotropic orientations of the $k$mers (orientation of the $k$mers along horizontal $x$ and vertical...
Topics: Soft Condensed Matter, Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1609.05591
The web has many possible appearances. This book is one of them. Every day Vasilis' server visits a website and generates one of these books with it. In this book you will find 100 blobs of a random shape and a random colour. The blob is placed on a striped background of two random colours. The width of the stripes and the width of the stroke of the blob are randomish as well. Just like the angle of the stripes. As long as Vasilis pays his hosting bill, a new book will be generated each day
Topics: art, generated, blobs, colours, colors, color, colour, stripes, lines, date, random
usa custom build
Topic: spmc custom
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James T. Campbell; Máté Wierdl
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Let $(X,\Sigma,m,\tau)$ be an ergodic system, that is, $(X, \Sigma, m)$ is a probability space and $\tau: X \to X$ is an invertible ergodic $m$preserving transformation. For a function $f:X\to\mathbb R$, let $A_Nf$ denote the $N$th ergodic average, $A_Nf(x)=\frac{1}{N}\cdot (f(x)+\dots+\tau^ {N1}f(x))$. Martin Barlow (personal communication) asked the following question, which arose from the work of a student (Zichun Ye) on interface models. Question: If $f(x) \ge 0$ is integrable, and $N(x)...
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1609.05560
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Miranda Kreković; Ivan Dokmanić; Martin Vetterli
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We study simultaneous localization and mapping with a device that uses reflections to measure its distance from walls. Such a device can be realized acoustically with a synchronized collocated source and receiver; it behaves like a bat with no capacity for directional hearing or vocalizing. In this paper we generalize our previous work in 2D, and show that the 3D case is not just a simple extension, but rather a fundamentally different inverse problem. While generically the 2D problem has a...
Topics: Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1609.05512
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Marino Badiale; Michela Guida; Sergio Rolando
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Given $1 0$, $r>0$, we define the weighted spaces \[ W=\left\{ u\in D^{1,p}(\mathbb{R}^{N}):\int_{\mathbb{R}^{N}}V\left( \left x\right \right) \left u\right ^{p}dx
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1609.05556
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Y. Itoh; M. Isobe
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We studied the short proton free induction decay signals and the broad ^1H NMR spectra of Mg(OH)2 and Ca(OH)2 powders at 77355 K and 42 MHz using pulsed NMR techniques. Using a Gaussiantype back extrapolation procedure for the obscured data of the proton free induction decay signals, we obtained more precise values of the second moments of the Fouriertransformed broad NMR spectra than those in a previous report [Y. Itoh and M. Isobe, J. Phys. Soc. Jpn. Vol. 84, 113601 (2015)] and compared...
Topics: Strongly Correlated Electrons, Materials Science, Condensed Matter, Other Condensed Matter
Source: http://arxiv.org/abs/1609.05474
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N. Menezes; Giandomenico Palumbo; C. Morais Smith
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It has been shown recently that local fourfermion interactions on the edges of twodimensional timereversalinvariant topological insulators give rise to a new nonFermiliquid phase, called helical Luttinger liquid (HLL). In this work, we provide a firstprinciple derivation of this nonFermiliquid phase based on the gaugetheory approach. Firstly, we derive a gauge theory for the edge states by simply assuming that the interactions between the Dirac fermions at the edge are mediated by a...
Topics: Mesoscale and Nanoscale Physics, High Energy Physics  Theory, Condensed Matter
Source: http://arxiv.org/abs/1609.05577
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Kaushal Thakkar; Ajay Majethiya; P. C. Vinodkumar
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The triply heavy flavour baryons are studied using the Quarkdiquark description of the threebody system. The confinement potential for present study of triply heavy flavour baryons is assumed as coulomb plus power potential with power index $\nu$. We have solved Schrodinger equation numerically to calculate the masses of triply heavy flavour baryons. The masses and magnetic moments of triply heavy flavour baryons are computed for different power indices, $\nu$, starting from 0.4 to 1.0. The...
Topic: High Energy Physics  Phenomenology
Source: http://arxiv.org/abs/1609.05444
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We consider a Lagrangian of interacting scalar fields. We divide the Lagrangian into two parts. The first part is to describe either the dark matter (DM) or the inflaton (IN) depending on the choice of the selfinteraction. The second part constitutes an environment of an infinite number of scalar fields interacting linearly with the first part. We approximate the environment by a white noise obtaining a Langevin equation. We show that the resulting FokkerPlanck equation has solutions...
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1609.05548
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We study log canonical thresholds (also called global log canonical threshold or $\alpha$invariant) of $\mathbb{R}$linear systems. We prove existence of positive lower bounds in different settings, in particular, proving a conjecture of Ambro. We then show that the BorisovAlexeevBorisov conjecture holds, that is, given a natural number $d$ and a positive real number $\epsilon$, the set of Fano varieties of dimension $d$ with $\epsilon$log canonical singularities forms a bounded family....
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1609.05543
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Tim Menzies; Ye Yang; George Mathew; Barry Boehm; Jairus Hihn
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Context:More than half the literature on software effort estimation (SEE) focuses on comparisons of new estimation methods. Surprisingly, there are no studies comparing state of the art latest methods with decadesold approaches. Objective:To check if new SEE methods generated better estimates than older methods. Method: Firstly, collect effort estimation methods ranging from "classical" COCOMO (parametric estimation over a predetermined set of attributes) to "modern"...
Topics: Software Engineering, Computing Research Repository
Source: http://arxiv.org/abs/1609.05563
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P. B. N'diaye; C. A. Akosa; A. Manchon
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We carry out a throughout study of the topological Hall and topological spin Hall effects in disordered skyrmionic systems: the dimensionless (spin) Hall angles are evaluated across the energy band structure in the multiprobe LandauerB\"uttiker formalism and their link to the effective magnetic field emerging from the real space topology of the spin texture is highlighted. We discuss these results for an optimal skyrmion size and for various sizes of the sample and found that the...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1609.05480
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Fabrice Devaux; Kien Phan Huy; PaulAntoine Moreau; Severine Denis; Eric Lantz
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We report ghost imaging of a single nonreproducible temporal signal in the range of tens kHz by using pseudothermal speckle light patterns and a single detector array with a million of pixels working without any temporal resolution. A set of speckle patterns is generated deterministically at radiofrequency rate, multiplied by the temporal signal and time integrated in a single shot by the camera. The temporal information is retrieved by computing the spatial intensity correlations between...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1609.05465
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Sharath Jose; Vishnu Kuzhimparampil; Benoît Pier; Rama Govindarajan
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It is now established that subcritical mechanisms play a crucial role in the transition to turbulence of nonrotating plane shear flows. The role of these mechanisms in rotating channel flow is examined here in the linear and nonlinear stages. Distinct patterns of behaviour are found: the transient growth leading to nonlinearity at low rotation rates $Ro$, a highly chaotic intermediate $Ro$ regime, a localised weak chaos at higher $Ro$, and complete stabilization of transient disturbances at...
Topics: Fluid Dynamics, Physics
Source: http://arxiv.org/abs/1609.05459
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by
Penny Haxell; Alex Scott
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We give a construction of rpartite runiform intersecting hypergraphs with cover number at least r4 for all but finitely many r. This answers a question of AbuKhazneh, Barat, Pokrovskiy and Szabo, and shows that a longstanding unsolved conjecture due to Ryser is close to being best possible for every value of r.
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1609.05458
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by
Damiano Brigo; Clement Piat
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We consider the optimal solutions to the trade execution problem in the two different classes of i) fully adapted or adaptive and ii) deterministic or static strategies, comparing them. We do this in two different benchmark models. The first model is a discrete time framework with an information flow process, dealing with both permanent and temporary impact, minimizing the expected cost of the trade. The second model is a continuous time framework where the objective function is the sum of the...
Topics: Trading and Market Microstructure, Quantitative Finance, Pricing of Securities
Source: http://arxiv.org/abs/1609.05523
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The jet quenching phenomenon in heavy ion collisions provides a strong evidence of the modification of parton shower in the quarkgluon plasma. This contribution focuses on the hard probes of QGP using jets and summarizes the new theoretical progress of jet substructure modification studies using effective field theory techniques. We emphasize the important role of jet substructure observables as they probe various aspects of the jet formation mechanism and allow us to study the medium...
Topics: High Energy Physics  Phenomenology, Nuclear Theory
Source: http://arxiv.org/abs/1609.05441
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Xuan Li; for the PHENIX Collaboration
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Heavy flavor and quarkona production are important hard probes to test the Quantum Chromodynamics (QCD) and measure the properties of the Quark Gluon Plasma (QGP) created in high energy heavy ion collisions. The new PHENIX mid and forwardrapidity silicon vertex detectors provide precise Distance of Closest Approach (DCA) determination, allowing charm and bottom yields identification, and improve dimuon mass resolution for charmonia studies. The relative $\psi(2S)$ over $J/\psi$(1S) yields...
Topics: Nuclear Experiment, High Energy Physics  Experiment
Source: http://arxiv.org/abs/1609.05424
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Kernelization is a significant topic in parameterized complexity. Turing kernelization is a general form of kernelization. In the aspect of kernelization, an impressive hardness theory has been established [Bodlaender etc. (ICALP 2008, JCSS2009), Fortnow and Santhanam (STOC 2008, JCSS 2011), Dell and van Melkebeek (STOC 2010, J. ACM 2014), Drucker (FOCS 2012, SIAM J. Comput. 2015)], which can obtain lower bounds of kernel size. Unfortunately, there is yet no tool can prove Turing kernel lower...
Topics: Computational Complexity, Computing Research Repository
Source: http://arxiv.org/abs/1609.05472
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Éste tratado que dispones entre tus manos pretende abrir la pregunta por el hombre, entender su naturaleza y resolver los enigmas del mismo, pero tal resolución no se halla en las palabras del mismo, sino en la capacidad reflexiva del propio lector. El verdadero conocimiento se halla dentro del ser, en su facultad reflexiva y racional, las cuales son cualidades propias de todos los seres humanos. En éste primer tratado, se aborda la consideración del hombre como animal, o como algo más,...
Topics: ser humano, espiritualidad, dios, religion, mente, animal, instinto, amor, verdad, razón
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by
Jianpeng Liu; Leon Balents
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We study the unique physical properties of topological nodalloop semimetals protected by the coexistence of timereversal and inversion symmetries with negligible spinorbit coupling. We argue that strong correlation effects occur at the surface of such systems for relatively small Hubbard interaction $U$, due to the narrow bandwidth of the "drumhead" surface states. In the HartreeFock approximation, at small $U$ we obtain a surface ferromagnetic phase through a continuous quantum...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter, Strongly Correlated Electrons
Source: http://arxiv.org/abs/1609.05529
Build tutta italiana per Kodi e progetti paralleli
Topics: kodi, kodimod, build, addons, spmc
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Montgomery Bell Academy
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A junior school student publication of Montgomery Bell Academy, a grade 712 allboys' independent school located in Nashville, Tennessee.
Topic: jr. school student newspaper
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We give an alternate presentation of the cyclotomic rational Cherednik algebra, which has the useful feature of compatibility with the OpdamDunkl subalgebra. This presentation has a diagrammatic flavor, and it provides a simple explanation of several surprising facts about this algebra. It allows direct proof of the connection of category $\mathcal{O}$ to weighted KLR algebras, provides an algebraic construction of the KZ functor, and provides a better framework for connecting Cherednik...
Topics: Representation Theory, Rings and Algebras, Mathematics
Source: http://arxiv.org/abs/1609.05494
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by
Viktor L. Ginzburg; Basak Z. Gurel
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We show that whenever a closed symplectic manifold admits a Hamiltonian diffeomorphism with finitely many simple periodic orbits, the manifold has a spherical homology class of degree two with positive symplectic area and positive integral of the first Chern class. This theorem encompasses all known cases of the Conley conjecture (symplectic CY and negative monotone manifolds) and also some new ones (e.g., weakly exact symplectic manifolds with nonvanishing first Chern class). The proof hinges...
Topics: Mathematics, Dynamical Systems, Symplectic Geometry
Source: http://arxiv.org/abs/1609.05592
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by
Anahit V. Harutyunyan; George Marinescu
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In this paper we consider the generalized little Hankel and Berezin type operators on Besov spaces of holomorphic functions on polydiscs and give results about the boundedness of these operators.
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1609.05533
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by
Shalosh B. Ekhad; N. J. A. Sloane; Doron Zeilberger
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Pisot sequences (sequences $a_n$ with initial terms $a_0=x, a_1=y$, and defined for $n>1$ by $a_n= \lfloor a_{n1}^2/a_{n2} + \frac{1}{2} \rfloor$) often satisfy linear recurrences with constant coefficients that are valid for all $n \geq 0$, but there are also cautionary examples where there is a linear recurrence that is valid for an initial range of values of $n$ but fails to be satisfied beyond that point, providing further illustrations of Richard Guy's celebrated "Strong Law of...
Topics: Number Theory, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1609.05570
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by
Zhida Song; Jimin Zhao; Zhong Fang; Xi Dai
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In the present paper, we propose that the chiral magnetic effect, the direct consequence of the presence of Weyl points in the band structure, can be detected by its coupling to certain phonon modes, which behave like pseudo scalars under point group transformations. Such coupling can generate resonance between intrinsic plasmon oscillation and the corresponding phonon modes, leading to dramatic modification of the optical response by the external magnetic field, which provides a new way to...
Topics: Mesoscale and Nanoscale Physics, Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1609.05442
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John H. Y. Ching; Elaine M. Sadler; Scott M. Croom; Helen M. Johnston; Michael B. Pracy; Warrick J. Couch; A. M. Hopkins; Russell J. Jurek; K. A. Pimbblet
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We present the Large Area Radio Galaxy Evolution Spectroscopic Survey (LARGESS), a spectroscopic catalogue of radio sources designed to include the full range of radio AGN populations out to redshift z = 0.8. The catalogue covers roughly 800 square degrees of sky, and provides optical identifications for 19,179 radio sources from the 1.4 GHz Faint Images of the Radio Sky at Twentycm (FIRST) survey down to an optical magnitude limit of i_mod < 20.5 in Sloan Digital Sky Survey (SDSS) images....
Topics: Astrophysics, Astrophysics of Galaxies
Source: http://arxiv.org/abs/1609.05578
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by
Thorben Casper; Ulrich Römer; Sebastian Schöps
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This work deals with the computation of industryrelevant bond wire failure probabilities in microelectronic packages. Under operating conditions, a package is subject to Joule heating that can lead to electrothermally induced failures. Manufacturing tolerances result, e.g., in uncertain bond wire geometries that often induce very small failure probabilities requiring a high number of Monte Carlo (MC) samples to be computed. Therefore, a hybrid MC sampling scheme that combines the use of an...
Topics: Computational Engineering, Finance, and Science, Computing Research Repository
Source: http://arxiv.org/abs/1609.06187
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by
Dominique Perrin; Christophe Reutenauer
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We investigate the relationship between two constructions of maximal commafree codes described respectively by Eastman and by Scholtz and the notions of Hall sets and Lazard sets introduced in connection with factorizations of free monoids and bases of free Lie algebras.
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1609.05438
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Scott Aaronson; Mohammad Bavarian; Giulio Gueltrini
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We ask, and answer, the question of what's computable by Turing machines equipped with time travel into the past: that is, closed timelike curves or CTCs (with no bound on their size). We focus on a model for CTCs due to Deutsch, which imposes a probabilistic consistency condition to avoid grandfather paradoxes. Our main result is that computers with CTCs can solve exactly the problems that are Turingreducible to the halting problem, and that this is true whether we consider classical or...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1609.05507
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by
Michael Hippke; Daniel Angerhausen
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Distance estimates from Gaia parallax and expected luminosities are compared for KIC 8462852. Gaia DR1 yields a parallax of $2.55\pm0.31$mas, that is a distance of $391.4\substack{+53.6 \\ 42.0}$pc, or $391.4\substack{+122.1 \\ 75.2}$pc including systematic uncertainty. The distance estimate based on the absolute magnitude of an F3V star and measured reddening is $\sim454\pm35$pc. Both estimates agree within $
Topics: Astrophysics, Solar and Stellar Astrophysics
Source: http://arxiv.org/abs/1609.05492
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by
Mohammad Sayad; Roman Rausch; Michael Potthoff
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Spin dynamics in the Kondo impurity model, initiated by suddenly switching the direction of a local magnetic field, is studied by means of the timedependent densitymatrix renormalization group. Quantum effects are identified by systematic computations for different spin quantum numbers $S$ and by comparing with tightbinding spindynamics theory for the classicalspin Kondo model. We demonstrate that, besides the conventional precessional motion and relaxation, the quantumspin dynamics shows...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter, Strongly Correlated Electrons
Source: http://arxiv.org/abs/1609.05526
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by
Sota Hanazawa; Makoto Sakaguchi
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We examine the surface term for the BRST transformation of the open pure spinor superstring in an AdS_5 x S^5 background. We find that the boundary condition to eliminate the surface term leads to a classification of possible configurations of 1/2 supersymmetric Dbranes.
Topic: High Energy Physics  Theory
Source: http://arxiv.org/abs/1609.05457
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We study riemannian coverings $\varphi: \widetilde{M} \to \Gamma\backslash \widetilde{M}$ where $\widetilde{M}$ is a normal homogeneous space $G/K_1$ fibered over another normal homogeneous space $M = G/K$ and $K$ is locally isomorphic to a nontrivial product $K_1\times K_2$. The most familiar such fibrations $\pi: \widetilde{M} \to M$ are the natural fibrations of Stieffel manifolds $SO(n_1 + n_2)/SO(n_1)$ over Grassmann manifolds $SO(n_1 + n_2)/[SO(n_1)\times SO(n_2)]$ and the twistor space...
Topics: Differential Geometry, Mathematics
Source: http://arxiv.org/abs/1609.05576
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by
Lukas Einkemmer; Alexander Ostermann
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In this paper we consider splitting methods in the presence of nonhomogeneous boundary conditions. In particular, we consider the corrections that have been described and analyzed in Einkemmer, Ostermann 2015 and AlonsoMallo, Cano, Reguera 2016. The latter method is extended to the nonlinear case, and a rigorous convergence analysis is provided. We perform numerical simulations for diffusionreaction, advectionreaction, and dispersionreaction equations in order to evaluate the relative...
Topics: Physics, Numerical Analysis, Computational Physics, Mathematics
Source: http://arxiv.org/abs/1609.05505
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by
Breno L. Giacchini
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Recently there has been a growing interest in quantum gravity theories with more than four derivatives, including both their quantum and classical aspects. In this work we extend the recent results concerning the nonsingularity of the modified Newtonian potential to the most relevant case in which the propagator has complex poles. The model we consider is EinsteinHilbert action augmented by curvaturesquared higherderivative terms which contain polynomials on the d'Alembert operator. We show...
Topics: High Energy Physics  Theory, General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1609.05432
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by
Seng Fatt Liew; Sebastian Knitter; Sascha Weiler; Jesus Fernando MonjardinLopez; Mark Ramme; Brandon Redding; Michael A. Choma; Hui Cao
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We develop a green light source with low spatial coherence via intracavity frequency doubling of a solidstate degenerate laser. The second harmonic emission supports many more transverse modes than the fundamental emission, and exhibit lower spatial coherence. A strong suppression of speckle formation is demonstrated for both fundamental and second harmonic beams. Using the green emission for fluorescence excitation, we show the coherent artifacts are removed from the fullfield fluorescence...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1609.05534
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We obtain a qualitative extension of Selberg's $3/16$ Theorem to the setting of moduli spaces of abelian differentials on genus $g \geq 2 $ surfaces. More precisely, under certain conditions we prove that there is a uniform spectral gap for the foliated hyperbolic Laplacian operators associated to congruence covers of a fixed component of a stratum of the moduli space of abelian differentials on a genus $g$ surface. We also state our result in representationtheoretic terms. To prove our...
Topics: Number Theory, Group Theory, Dynamical Systems, Spectral Theory, Mathematics
Source: http://arxiv.org/abs/1609.05500
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by
Andrew W. Simmons
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The proofs of quantum nonlocality due to GHZ and Hardy are quantitatively different from that of Bell insofar as they rely only on a consideration of whether events are possible or impossible, rather than relying on specific experimental probabilities. Here, we consider the computational task of determining whether or not a given table of possibilities constitutes a departure from possibilistic local realism. By considering the case in which one party has access to measurements with two...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1609.05550
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by
Asadollah Aghajani; Alireza M. Tehrani
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We derive a priori bounds for positive supersolutions of $  \Delta_{p} u = \rho(x) f(u) $, where $p>1$ and $\Delta_{p}$ is the $p$Laplace operator, in a smooth bounded domain of $R^{N}$ with zero Dirichlet boundary conditions. We apply the results to nonlinear elliptic eigenvalue problem $  \Delta_{p} u = \lambda f(u) $, with Dirichlet boundary condition, where $ f $ is a nondecreasing continuous differentiable function on $[0,\infty]$ such that $ f(0) > 0 $, $ f(t)^{\frac{1}{p1}} $...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1609.05437